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Atlas › Integer Profiles › Node 54,813,752

54,813,752

23 × 72 × 139831
Abundant Even Composite

54,813,752 factors as 2^3 × 7^2 × 139831. Its 24 positive divisors give a proper-divisor sum of 64,742,608, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 139831
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 119,556,360
Proper Divisor Sum 64,742,608
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #54813751 ← → #54813769

Radix Representation

Decimal 54813752
Binary 11010001000110010000111000 (26 bits)
Octal 0o321062070
Hexadecimal 0x3446438

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 139,831 279,662 559,324 978,817 1,118,648 1,957,634 3,915,268 6,851,719 7,830,536 13,703,438 27,406,876 54,813,752

Collatz Trajectory (163 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

54,813,752 27,406,876 13,703,438 6,851,719 20,555,158 10,277,579 30,832,738 15,416,369 46,249,108 23,124,554 11,562,277 34,686,832 17,343,416 8,671,708 4,335,854 2,167,927 6,503,782 3,251,891 9,755,674 4,877,837 14,633,512 7,316,756 3,658,378 1,829,189 5,487,568 2,743,784 1,371,892 685,946 342,973 1,028,920 514,460 257,230 128,615 385,846 192,923 578,770 289,385 868,156 434,078 217,039 651,118 325,559 976,678 488,339 1,465,018 732,509 2,197,528 1,098,764 549,382 274,691 824,074 412,037 1,236,112 618,056 309,028 154,514 77,257 231,772 115,886 57,943

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